A Discrete Kumaraswamy Marshall-Olkin Exponential Distribution

IF 0.1 Q4 STATISTICS & PROBABILITY JIRSS-Journal of the Iranian Statistical Society Pub Date : 2021-12-01 DOI:10.52547/jirss.20.2.129
Jiju Gillariose, Lishamol Tomy, Farrukh Jamal, C. Chesneau
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引用次数: 2

Abstract

. Finding new families of distributions has become a popular tool in statistical research. In this article, we introduce a new flexible four-parameter discrete model based on the Marshall-Olkin approach, namely, the discrete Kumaraswamy Marshall-Olkin exponential distribution. The proposed distribution can be viewed as another generalization of the geometric distribution and enfolds some important distributions as special cases. Some properties of the new distribution are derived. The model parameters are estimated by the maximum likelihood method, with validation through a complete simulation study. The usefulness of the new model is illustrated via count-type real data sets. MSC:
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一个离散的Kumaraswamy Marshall-Olkin指数分布
. 寻找新的分布族已经成为统计研究中的一个流行工具。在本文中,我们引入了一种新的基于Marshall-Olkin方法的柔性四参数离散模型,即离散Kumaraswamy Marshall-Olkin指数分布。所提出的分布可以看作是几何分布的另一种推广,并包含了一些重要的分布作为特殊情况。给出了新分布的一些性质。采用最大似然法估计模型参数,并通过完整的仿真研究进行了验证。通过计数型实际数据集说明了新模型的有效性。硕士:
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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